Determine the points where the function $h$ has local maxima or minima given $h^{\prime }\left(x\right)=(x-15)(x+21)(x-13)$.

Local minimum at: $x=-21$ $x = 15$

Local maxima at: $x=13$ and $x = 15$

Local minima at: $x=13$ and $x = 15$

Local maximum at: $x=-21$

Local minima at: $x = -21$ and $x = 15$

Local maximum at: $x=13$

Local minimum at: $x=13$

Local maxima at: $x = -21$ and $x = 15$